Items tagged with second



We solve the following ode in the interval (0,Pi):


bcs=u(0)=0, u(Pi)=0;

Stating one example of many conditions for such equation to have a
valid solution

Many thanks



I got a problem with solving a second order ODE. 

The ODE is :

-V(xi)+(1/2)*xi*(diff(V(xi), xi))+(1/4)*(diff(V(xi), xi, xi))=-(1/2)*k2*(diff(H(xi), xi))-k1*n*X/E+1+k2

where k1,k2,n,X,E  all are constant.

the condition is :

V(xi) tends to 2*xi^2 as xi tends to infinity.

I used 'dsolve' to solve the equation firstly, and got a solution with two constant C1 and C2, I want to use the condition to elimilate C2, so I used limit(sol,xi=infinity)=2*xi^2. But when I used the command 'limit', I can't get the answer.

Could any one help me? 

Many thanks!!!

Hi every body:

i have a second order ode and will convert to two ode of first order with maple,how do this work???

eq := diff(y(x), x, x)+2*y(x)+y(x)^2 = 0


I  have a system of second order differential equation to be solved numerically. I would like to set up events to halt integration  to find the values of phi when r(phi)=2/3 . Here is my code




The code only works for the second event so it halts for r(phi)=1.63... etc

How do i stop this?


Thanks for any help.

> seconddegree:= proc(a,b,c) 
 if a=0 then if b=0 and c=0 then print ('infinite solutions')  
elif b=0 and c<>0 then print ('impossible')  
elif b<>0 and c<>0 then print (' one solution',x=-(c)/(b))fi;   
delta:=b^(2)-4 *a*c;    
elif if delta=0 then print('double solution',x=-b/(2 a))  
elif delta >0 then print ('exist two  solutions',x1=((-b+sqrt(delta...

Hi,    I have the following    

for i from 1 to 100 do    x[i]:=cos(θ[i]);     y[i]:=sin(θ[i])  end do; 

Now I want to find the first and second derivatives for x[i] and y[i] which are

for i from 1 to 100 do     x1dot[i]:=-sin(θ[i]);     y1dot[i]:=cos(θ[i]); 


Just curious, something simple really

In standard Maple,
is plot(x2); then 'right-click-on-graph' -> axes -> create second axis the same as plots[dualaxisplot](x2,x2) ?

If so, why wasn't a secondaxis=true/false option made available in the command line?

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